On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection
On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection
复制标题
DOI：
10.3390/sym9070112
复制
发表时间：
2017-07
期刊：
影响因子：
--
通讯作者：
Jing Li;Guoqing He;P. Zhao
中科院分区：
文献类型：
--
作者：
Jing Li;Guoqing He;P. Zhao
本文研究具有半对称非度量联络的黎曼流形中的子流形。证明了子流形上的诱导联络也是半对称非度量联络。我们考虑关于半对称非度量联络的子流形的全测地性和极小性。我们得到了关于半对称非度量联络的子流形的Gauss、Cadazzi和Ricci方程。
In this paper, we study submanifolds in a Riemannian manifold with a semi-symmetric non-metric connection. We prove that the induced connection on a submanifold is also semi-symmetric non-metric connection. We consider the total geodesicness and minimality of a submanifold with respect to the semi-symmetric non-metric connection. We obtain the Gauss, Cadazzi, and Ricci equations for submanifolds with respect to the semi-symmetric non-metric connection.